{"title":"反子群的约简定理","authors":"A. A. Makhnëv","doi":"10.1070/IM1992V038N02ABEH002200","DOIUrl":null,"url":null,"abstract":"The following reduction theorem for TI-subgroups is obtained: if a 2-group A is a TI-subgroup of a finite group, then either A is an elementary or cyclic group, or the normal closure of A is a well-known group.","PeriodicalId":159459,"journal":{"name":"Mathematics of The Ussr-izvestiya","volume":"40 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1992-04-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"A REDUCTION THEOREM FOR TI-SUBGROUPS\",\"authors\":\"A. A. Makhnëv\",\"doi\":\"10.1070/IM1992V038N02ABEH002200\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The following reduction theorem for TI-subgroups is obtained: if a 2-group A is a TI-subgroup of a finite group, then either A is an elementary or cyclic group, or the normal closure of A is a well-known group.\",\"PeriodicalId\":159459,\"journal\":{\"name\":\"Mathematics of The Ussr-izvestiya\",\"volume\":\"40 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1992-04-30\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Mathematics of The Ussr-izvestiya\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1070/IM1992V038N02ABEH002200\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Mathematics of The Ussr-izvestiya","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1070/IM1992V038N02ABEH002200","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
The following reduction theorem for TI-subgroups is obtained: if a 2-group A is a TI-subgroup of a finite group, then either A is an elementary or cyclic group, or the normal closure of A is a well-known group.
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